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arXiv · 2508.08103

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system

Federico Buseghin·Juan Dávila·Manuel del Pino·Monica Musso
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Abstract

We construct axially symmetric finite-time blow-up solutions to the three-dimensional Keller-Segel system. By adapting gluing techniques, we derive a precise asymptotic expansion for Type II singularities that generalizes the recent work of Hou, Nguyen, and Song. In our construction the mass concentrates along multiple rings and we obtain a refined expansion for the blow-up rate.

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Federico Buseghin, Juan Dávila, Manuel del Pino, Monica Musso. 2025-08-11. Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system. https://arxiv.org/abs/2508.08103

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